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Finding the Fourth Proportional to 5,267, 7,900.56 and 1,804.52

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Solution

The fourth proportional to 5,267, 7,900.56 and 1,804.52 is: 2,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267 : 7,900.56 = 1,804.52 : x
  2. Step 2: Convert to fraction form
    5,267/7,900.56 = 1,804.52/x
  3. Step 3: Cross multiply
    5,267x = 7,900.56 × 1,804.52
  4. Step 4: Simplify right side
    5,267x = 14,256,718.53
  5. Step 5: Solve for x
    x = 14,256,718.53/5,267
  6. Step 6: Final answer
    x = 2,706.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.